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Finding the Third Proportional to 518,119 and 799,319

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Solution

The third proportional to 518,119 and 799,319 is: 1,233,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,119 : 799,319 = 799,319 : x
  2. Step 2: Convert to fraction form
    518,119/799,319 = 799,319/x
  3. Step 3: Cross multiply
    518,119x = 799,319 × 799,319
  4. Step 4: Simplify right side
    518,119x = 638,910,863,761
  5. Step 5: Solve for x
    x = 638,910,863,761/518,119
  6. Step 6: Final answer
    x = 1,233,135.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.